I'd like to give my Calculus 1 class periodic multiple choice questions that really test conceptual understanding. Ideally, I'd like these questions to require very little computation. I know that a lot of textbooks have true false questions, which I like, but I'm hoping to find a source of questions with more than two possible answers. Something along the following lines:
Suppose that $f(x)$ and $g(x)$ are such that $f'(x)>g'(x)$ for all real $x$. Which of the following statements must be true?
- The graphs of $f$ and $g$ intersect exactly once.
- The graphs of $f$ and $g$ intersect no more than once.
- The graphs of $f$ and $g$ do not intersect.
- The graphs of $f$ and $g$ may intersect any number of times.
For a student who understands the derivative well, this question could be answered in under one minute with absolutely no computations.
Anyone know of a good source to find a bank of such questions? It would be ideal if the TeX code was available too, or if the problems were already encoded into WeBWorK or some other online homework system.